The Theory Of Near Rings
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The Theory Of Near Rings
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Author : Robert Lockhart
language : en
Publisher: Springer Nature
Release Date : 2021-11-14
The Theory Of Near Rings written by Robert Lockhart and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-14 with Mathematics categories.
This book offers an original account of the theory of near-rings, with a considerable amount of material which has not previously been available in book form, some of it completely new. The book begins with an introduction to the subject and goes on to consider the theory of near-fields, transformation near-rings and near-rings hosted by a group. The bulk of the chapter on near-fields has not previously been available in English. The transformation near-rings chapters considerably augment existing knowledge and the chapters on product hosting are essentially new. Other chapters contain original material on new classes of near-rings and non-abelian group cohomology. The Theory of Near-Rings will be of interest to researchers in the subject and, more broadly, ring and representation theorists. The presentation is elementary and self-contained, with the necessary background in group and ring theory available in standard references.
Near Rings The Theory And Its Applications
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Author :
language : en
Publisher: Elsevier
Release Date : 2011-10-10
Near Rings The Theory And Its Applications written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-10 with Mathematics categories.
Near-rings: The Theory and its Applications
The Theory Of Near Rings
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Author : Robert Lockhart
language : en
Publisher:
Release Date : 2021
The Theory Of Near Rings written by Robert Lockhart and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.
This book offers an original account of the theory of near-rings, with a considerable amount of material which has not previously been available in book form, some of it completely new. The book begins with an introduction to the subject and goes on to consider the theory of near-fields, transformation near-rings and near-rings hosted by a group. The bulk of the chapter on near-fields has not previously been available in English. The transformation near-rings chapters considerably augment existing knowledge and the chapters on product hosting are essentially new. Other chapters contain original material on new classes of near-rings and non-abelian group cohomology. The Theory of Near-Rings will be of interest to researchers in the subject and, more broadly, ring and representation theorists. The presentation is elementary and self-contained, with the necessary background in group and ring theory available in standard references.
Near Rings And Near Fields
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Author : G. Betsch
language : en
Publisher: Elsevier
Release Date : 2011-09-22
Near Rings And Near Fields written by G. Betsch and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.
Most topics in near-ring and near-field theory are treated here, along with an extensive introduction to the theory. There are two invited lectures: ``Non-Commutative Geometry, Near-Rings and Near-Fields'' which indicates the relevance of near-rings and near-fields for geometry, while ``Pseudo-Finite Near-Fields'' shows the impressive power of model theoretic methods. The remaining papers cover such topics as D.G. near-rings, radical theory, KT-near-fields, matrix near-rings, and applications to systems theory.
Near Rings And Their Links With Groups
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Author : J. D. P. Meldrum
language : en
Publisher: Pitman Advanced Publishing Program
Release Date : 1985
Near Rings And Their Links With Groups written by J. D. P. Meldrum and has been published by Pitman Advanced Publishing Program this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Mathematics categories.
Near Rings Fuzzy Ideals And Graph Theory
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Author : Bhavanari Satyanarayana
language : en
Publisher: CRC Press
Release Date : 2013-05-21
Near Rings Fuzzy Ideals And Graph Theory written by Bhavanari Satyanarayana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-21 with Computers categories.
Near Rings, Fuzzy Ideals, and Graph Theory explores the relationship between near rings and fuzzy sets and between near rings and graph theory. It covers topics from recent literature along with several characterizations. After introducing all of the necessary fundamentals of algebraic systems, the book presents the essentials of near rings theory, relevant examples, notations, and simple theorems. It then describes the prime ideal concept in near rings, takes a rigorous approach to the dimension theory of N-groups, gives some detailed proofs of matrix near rings, and discusses the gamma near ring, which is a generalization of both gamma rings and near rings. The authors also provide an introduction to fuzzy algebraic systems, particularly the fuzzy ideals of near rings and gamma near rings. The final chapter explains important concepts in graph theory, including directed hypercubes, dimension, prime graphs, and graphs with respect to ideals in near rings. Near ring theory has many applications in areas as diverse as digital computing, sequential mechanics, automata theory, graph theory, and combinatorics. Suitable for researchers and graduate students, this book provides readers with an understanding of near ring theory and its connection to fuzzy ideals and graph theory.
Near Rings
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Author : Günter Pilz
language : en
Publisher: North Holland
Release Date : 1983
Near Rings written by Günter Pilz and has been published by North Holland this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with categories.
Near Rings And Near Fields
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Author : Howard E Bell
language : en
Publisher:
Release Date : 1995-07-31
Near Rings And Near Fields written by Howard E Bell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-31 with categories.
Radical Theory Of Rings
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Author : J.W. Gardner
language : en
Publisher: CRC Press
Release Date : 2003-11-19
Radical Theory Of Rings written by J.W. Gardner and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-19 with Mathematics categories.
Radical Theory of Rings distills the most noteworthy present-day theoretical topics, gives a unified account of the classical structure theorems for rings, and deepens understanding of key aspects of ring theory via ring and radical constructions. Assimilating radical theory's evolution in the decades since the last major work on rings and radicals was published, the authors deal with some distinctive features of the radical theory of nonassociative rings, associative rings with involution, and near-rings. Written in clear algebraic terms by globally acknowledged authorities, the presentation includes more than 500 landmark and up-to-date references providing direction for further research.
Smarandache Near Rings
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2002
Smarandache Near Rings written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B in A which is embedded with a stronger structure S. These types of structures occur in our everyday life, that's why we study them in this book. Thus, as a particular case: A Near-Ring is a non-empty set N together with two binary operations '+' and '.' such that (N, +) is a group (not necessarily abelian), (N, .) is a semigroup. For all a, b, c in N we have (a + b) . c = a . c + b . c. A Near-Field is a non-empty set P together with two binary operations '+' and '.' such that (P, +) is a group (not necessarily abelian), (P \ {0}, .) is a group. For all a, b, c I P we have (a + b) . c = a . c + b . c. A Smarandache Near-ring is a near-ring N which has a proper subset P in N, where P is a near-field (with respect to the same binary operations on N).